    
In local quantum theory to every finite open contractible region \(M\)  a von Neumann ring \(\mathcal {R}(M)\)  is assigned. The causality principle relates the orthocomplement \(M^\perp \)  to the commutant \(\mathcal {R}(M)^{\prime }\) . So in Haag 1992 [1]} it is postulated tentatively that for the vacuum sector the assignment \(\mathcal {R}\)  actually extends to a homomorphism from \(\mathcal {M}\)  into the lattice of von Neumann rings on a Hilbert space. Obviously, the tentative to construct a rep \(F\)  describing localization within the frame of local quantum theory may be inspired by these considerations. But a localization operator \(E(\Delta )\)  in general cannot be regarded to be an element of \(\mathcal {R}(\hat{\Delta })\)  by [2]} just because of the semi-boundedness of energy.
